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Finding the Fourth Proportional to 7,870.69, 11,807.99 and 2,324.02

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Solution

The fourth proportional to 7,870.69, 11,807.99 and 2,324.02 is: 3,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.69 : 11,807.99 = 2,324.02 : x
  2. Step 2: Convert to fraction form
    7,870.69/11,807.99 = 2,324.02/x
  3. Step 3: Cross multiply
    7,870.69x = 11,807.99 × 2,324.02
  4. Step 4: Simplify right side
    7,870.69x = 27,442,004.92
  5. Step 5: Solve for x
    x = 27,442,004.92/7,870.69
  6. Step 6: Final answer
    x = 3,486.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.